526413520 has 20 divisors (see below), whose sum is σ = 1223911620. Its totient is φ = 210565376.

The previous prime is 526413509. The next prime is 526413523. The reversal of 526413520 is 25314625.

It can be written as a sum of positive squares in 2 ways, for example, as 393149584 + 133263936 = 19828^2 + 11544^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×526413520² = 554222388077580800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526413523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3290005 + ... + 3290164.

It is an arithmetic number, because the mean of its divisors is an integer number (61195581).

Almost surely, 2^526413520 is an apocalyptic number.

It is an amenable number.

526413520 is an abundant number, since it is smaller than the sum of its proper divisors (697498100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

526413520 is a wasteful number, since it uses less digits than its factorization.

526413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580182 (or 6580176 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 526413520 is about 22943.7032756266. The cubic root of 526413520 is about 807.4376785445.

The spelling of 526413520 in words is "five hundred twenty-six million, four hundred thirteen thousand, five hundred twenty".